Pith Number

pith:KAUGMNWZ

pith:2016:KAUGMNWZT7TKLYCJULVZ7W2D53

not attested not anchored not stored refs pending

Almost reducibility of linear difference systems from a spectral point of view

Alvaro Casta\~neda, Gonzalo Robledo

arxiv:1607.00981 v2 · 2016-07-04 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAUGMNWZT7TKLYCJULVZ7W2D53}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:03:40.534729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50286636d99fe6a5e049a2eb9fdb43eee176fcb74d67726d5e56779733d4dbef

Aliases

arxiv: 1607.00981 · arxiv_version: 1607.00981v2 · doi: 10.48550/arxiv.1607.00981 · pith_short_12: KAUGMNWZT7TK · pith_short_16: KAUGMNWZT7TKLYCJ · pith_short_8: KAUGMNWZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KAUGMNWZT7TKLYCJULVZ7W2D53 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 50286636d99fe6a5e049a2eb9fdb43eee176fcb74d67726d5e56779733d4dbef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f2f2a023ec768ee7364fdbedd51d8c557be003041380a94257ce5182c912ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-04T18:17:19Z",
    "title_canon_sha256": "e66d45f036287225a6c63d267df3bf2f4add971d5617ca3ce08e11198fdf8b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00981",
    "kind": "arxiv",
    "version": 2
  }
}